inverse of y = x2 – 10x.?????????

NetherCraft 0

i don’t understand this. can someone please explain how to find the inverse of this?

2 Answers

  • This isn’t easy. First, there are multiple values of x for the same value of y, so there isn’t a proper inverse function on the whole domain. Here’s how you do it:

    y = x^2 – 10x + 25 – 25

    y = (x-5)^2 – 25

    y+25 = (x-5)^2

    x-5 = +/-sqrt(y+25)

    And you get TWO inverses:

    x = 5 + sqrt(y+25), for x>=5

    x = 5 – sqrt(y+25), for x<=5

    Hope this helped!

  • I’m no expert but I’m pretty sure it’s just over 1.

    so

    y = x2 – 10x

    y[inverse] = (1) / (x2 – 10x)

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